Answer:
Step-by-step explanation:
Model the expressions
with bar models or algebra tiles to determine if the expressions are
Equivalent.
You can also write equivalent expressions using
properties of operations
and order of operations.
Answer:
The measure of angle PQR is 74 degrees
Step-by-step explanation:
* <em>Lets explain how to solve the problem</em>
- Bisect an angle means divide the angle into two equal parts in
measures
- Ex: If angle ABC is bisected by a ray BD then:
- Angle ABC is divided into two equal parts in measure
m∠ABD = m∠CBD and
m∠ABC = m∠ABD + m∠CBD
- So we can say measure of angle ABC is twice measure of angle
ABD or twice measure of angle CBD
*<em> Lets solve the problem</em>
- Julio bisects angle PQR and labels a point on the bisector as S
∴ m∠PQS = m∠RQS
∴ m∠PQR = m∠PQS + m∠RQS
∴ m∠PQR = 2 m∠PQS ⇒ (or 2 m∠RQS)
- He measures angle PQS with a protractor and find its measure is
37 degrees
∵ m∠PQS = 37°
∴ m∠PQR = 2 × m∠PQS
∴ m∠PQR = 2 × 37 = 74°
∴ The measure of angle PQR is 74 degrees
Answer:
The value of test statistic is -4.1247
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $3.26 a gallon
Sample mean,
= $3.19 a gallon
Sample size, n = 32
Sample standard deviation, σ = $0.096
First, we design the null and the alternate hypothesis
We use one-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Thus, the value of test statistic is -4.1247
Answer:
Hope this image helps you. (sorry if it's tiny writing.)
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.Categorize Your Data. Compile your data into categories. ...
2.Find the Total. Add all the numbers together to get the total. ...
3.Divide the Categories. Divide each of the categories by the total. ...
4.Convert to Percentages. Multiply each of the decimals by 100 to get the percentages. ...
5.Calculate the Degrees.